%0 Journal Article %1 0305-4470-39-18-L05 %A Matinyan, Sergei G %A Müller, Berndt %D 2006 %J Journal of Physics A: Mathematical and General %K physics statistical %N 18 %P L285 %T The partition function in the Wigner–Kirkwood expansion %U http://stacks.iop.org/0305-4470/39/i=18/a=L05 %V 39 %X We study the semiclassical Wigner–Kirkwood (WK) expansion of the partition function Z ( t ) for arbitrary even homogeneous potentials, starting from the Bloch equation. As is well known, the phase-space kernel of Z satisfies the so-called Uhlenbeck–Beth equation, which depends on the gradients of the potential. We perform a chain of transformations to obtain novel forms of this equation that invite analogies with various physical phenomena and formalisms, such as diffusion processes, the Fokker–Planck equation and supersymmetric quantum mechanics.

@article{0305-4470-39-18-L05, abstract = {We study the semiclassical Wigner–Kirkwood (WK) expansion of the partition function Z ( t ) for arbitrary even homogeneous potentials, starting from the Bloch equation. As is well known, the phase-space kernel of Z satisfies the so-called Uhlenbeck–Beth equation, which depends on the gradients of the potential. We perform a chain of transformations to obtain novel forms of this equation that invite analogies with various physical phenomena and formalisms, such as diffusion processes, the Fokker–Planck equation and supersymmetric quantum mechanics.}, added-at = {2013-12-24T19:44:50.000+0100}, author = {Matinyan, Sergei G and Müller, Berndt}, biburl = {https://www.bibsonomy.org/bibtex/252edb844aabdce44a7647647d2047a5f/ibluestein}, interhash = {80b58e59f3453d333bfbd7d2f8f3559f}, intrahash = {52edb844aabdce44a7647647d2047a5f}, journal = {Journal of Physics A: Mathematical and General}, keywords = {physics statistical}, number = 18, pages = {L285}, timestamp = {2013-12-24T19:44:50.000+0100}, title = {The partition function in the Wigner–Kirkwood expansion}, url = {http://stacks.iop.org/0305-4470/39/i=18/a=L05}, volume = 39, year = 2006 }